Abstract
We describe the rank 3 Temperley-Lieb-Martin algebras in terms of Kuperberg's A2-webs. We define consistent labelings of webs and use them to describe the coefficients of decompositions into reduced webs. We introduce web immanants, inspired by Temperley-Lieb immanants of Rhoades and Skandera. We show that web immanants are positive when evaluated on totally positive matrices and describe some further properties.
Original language | English (US) |
---|---|
Pages (from-to) | 2183-2197 |
Number of pages | 15 |
Journal | Discrete Mathematics |
Volume | 310 |
Issue number | 15-16 |
DOIs | |
State | Published - Aug 28 2010 |
Externally published | Yes |
Keywords
- Immanants
- Temperley-Lieb-Martin algebra
- Total positivity